MCQ
Two vectors $\vec A\,{\rm{ and }}\vec B$ are such that $\vec A + \vec B = \vec A - \vec B$. Then
- A$\vec A\,.\,\vec B = 0$
- B$\vec A \times \vec B = 0$
- C$\vec A = 0$
- ✓$\overrightarrow B = 0$
✓
Answer
Correct option: D.
$\overrightarrow B = 0$
d
$\vec{A}+\vec{B}=\vec{A}-\vec{B}$
$\vec{A}+\vec{B}=\vec{A}-\vec{B}$
$(\vec{A}-\vec{A})+\vec{B}+\vec{B}=0$
$0+2\vec{B}=0$
$\vec{B}=0$
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